If \[\omega =\frac{z}{z-\frac{1}{3}i}\] and \[|\omega |=1,\] then z lies on

If \[\omega =\frac{z}{z-\frac{1}{3}i}\] and \[|\omega |=1,\] then z li

1.	If \[\omega =\frac{z}{z-\frac{1}{3}i}\] and \[\|\omega \|=1,\] then z lies on
A.	an ellipse
B.	a circle
C.	a straight line
D.	a parabola
Answer» D. a parabola

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If \[\omega =\frac{z}{z-\frac{1}{3}i}\] and \[|\omega |=1,\] then z lies on

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